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Finding the Third Proportional to 132,300.84 and 198,749.11

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Solution

The third proportional to 132,300.84 and 198,749.11 is: 298,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300.84 : 198,749.11 = 198,749.11 : x
  2. Step 2: Convert to fraction form
    132,300.84/198,749.11 = 198,749.11/x
  3. Step 3: Cross multiply
    132,300.84x = 198,749.11 × 198,749.11
  4. Step 4: Simplify right side
    132,300.84x = 39,501,208,477.36
  5. Step 5: Solve for x
    x = 39,501,208,477.36/132,300.84
  6. Step 6: Final answer
    x = 298,571.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.